Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 33 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 34 U.S. cities. The sample mean for these cities showed that x2 = 18.2% of the young adults had attended college. From previous studies, it is known that σ1 = 6.6% and σ2 = 5.2%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use α = 0.05.(a) What is the level of significance? What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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Description: Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 33 U.S. cities. The sample m

a) The level of significance is 0.05.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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Author:Carter

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Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n₁ = 33 U.S. cities. The sample mean for these cities showed that x₁ = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n₂ = 34 U.S. cities. The sample mean for these cities showed that x₂ = 18.2% of the young adults had attended college. From previous studies, it is known that σ₁ = 6.6% and σ₂ = 5.2%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use α = 0.05.

(a) What is the level of significance?

What is the value of the sample test statistic? (Test the difference μ₁ − μ₂. Round your answer to two decimal places.)

(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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